100221010220100 has 576 divisors, whose sum is σ = 366927515136000. Its totient is φ = 20516010393600.

The previous prime is 100221010220083. The next prime is 100221010220249. The reversal of 100221010220100 is 1022010122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459095776 + ... + 459314024.

It is an arithmetic number, because the mean of its divisors is an integer number (637026936000).

Almost surely, 2^{100221010220100} is an apocalyptic number.

100221010220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221010220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183463757568000).

100221010220100 is an abundant number, since it is smaller than the sum of its proper divisors (266706504915900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221010220100 is a wasteful number, since it uses less digits than its factorization.

100221010220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218580 (or 218573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100221010220100 its reverse (1022010122001), we get a palindrome (101243020342101).

The spelling of 100221010220100 in words is "one hundred trillion, two hundred twenty-one billion, ten million, two hundred twenty thousand, one hundred".